Khovanov module and the detection of unlinks

Details Khovanov module and the detection of unlinks Khovanov module and the detection of unlinks

2012-04-04

arxiv.org/abs/1204.0960v1

Mathematics

Geometric Topology

43 pages, 4 figures

Scientific paper

We study a module structure on Khovanov homology, which we show is natural
under the Ozsvath-Szabo spectral sequence to the Floer homology of the branched
double cover. As an application, we show that this module structure detects
trivial links. A key ingredient of our proof is that the H_1/Torsion module
structure on Heegaard Floer homology detects S^1xS^2 connected summands.

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